Which of the following is a perfect square trinomial?

Which Of The Following Is A Perfect Square Trinomial?

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

[tex](ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\[/tex]

Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either [tex]+2ab \text{ or } -2ab[/tex] .  So what are a  and b?  a is the square root of the x^2 term and b is the square root of the y^2 term.

[tex]25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30[/tex]

The middle coefficient needs to be either +30 or -30.  The answer is choice A.


Related Questions

Determine the area of the shaded region.
15 m
24 m
10 m
10 m
5 m
5 m

Answers

Answer:

230

Step-by-step explanation:

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10^-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10^-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?

Answers

Answer:

Braylee’s music is 3 times louder than Jessica's

Step-by-step explanation:

Given

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]I_0 = 10^{-12}[/tex]

Required

Number of times Braylee's music is louder than Jessica's

First, we calculate the loudness of Jessica's music.

From the question;

[tex]I = 10^{-9}[/tex]

So, we have:

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]L = 10\log\frac{10^{-9}}{10^{-12}}[/tex]

Apply law of indices

[tex]L = 10\log{10^{12-9}}[/tex]

[tex]L = 10\log{10^3[/tex]

Apply law of logarithm

[tex]L = 3*10\log{10[/tex]

[tex]\log10 = 1[/tex]

So:

[tex]L_1 = 3*10*1 = 30[/tex]

First, we calculate the loudness of Braylee's music.

From the question;

[tex]I = 10^{-3}[/tex]

So, we have:

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]L = 10\log\frac{10^{-3}}{10^{-12}}[/tex]

Apply law of indices

[tex]L = 10\log{10^{12-3}}[/tex]

[tex]L = 10\log{10^9[/tex]

Apply law of logarithm

[tex]L = 9*10\log{10[/tex]

[tex]L_2 = 9*10*1 = 90[/tex]

At this point, we have:

[tex]L_1 = 30[/tex] --- Jessica's

[tex]L_2 = 90[/tex] --- Braylee's

Divide L2 by L1 to get the required number of times

[tex]n = \frac{L_2}{L_1}[/tex]

[tex]n = \frac{90}{30}[/tex]

[tex]n = 3[/tex]

 

Answer:

D.

Step-by-step explanation:

Please help with this math question

Answers

Area of the rectangle minus area of 2 circles

Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16

Answer is:
128 - 2(3.14•16) square inches

YALLLL PLZ HELP ASAP TY
Solve the inequality and graph the solution on the line provided.
-5 - 7x < -40

Answers

Answer:

x > 5

solid dot on the number 5 and shading to the right

Step-by-step explanation:

-5 - 7x < -40

-7x < -35

x > 5

solid dot on the number 5 and shading to the right

which function rule represents the data in the table?​

Answers

Answer:

A

Step-by-step explanation:

STAT, EDIT

HELP!!! this is graded and no links plss!!!

Answers

Answer:

396 mm squared

Step-by-step explanation:

(8 x 12) ÷ 2 = 48

48 x 2 = 96

10 x 10 = 100

100 x 3 = 300

300 + 96 = 396

Answer:

396 mm squared is what I see

Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2

Answers

Answer:

The answer is: y= -5x-2

Step-by-step explanation:

I hope it help.

Keisha works as a tutor for $13 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let t be the number of hours Keisha worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer:

Keisha got $2,222 that month

Step-by-step explanation:

Answer:

its 2,222

Step-by-step explanation:

i got it right

|x+7|>3

help me pleaseeee

Answers

Answer:

x>-4

Step-by-step explanation:

|x+7| is just x+7

x+7>3

-7 on both sides

x>-4

Determine whether the polygons are similar. If so, write a similarity
statement and give the scale factor. If not, explain.

Answers

Answer:

yes, because of the Angle-Angle-Angle theorem

scale factor = 2

Step-by-step explanation:

Please help with last 2 domain and range

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions

Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)

Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

THIS IS FOR TODAY SOMEONE HELP ME PLS!!!

NO LINKS PLEASE PLEASE

Answers

Step-by-step explanation:

Angle M = Angle R

47x - 17 = 32x + 28

15x = 45

x = 3

Angle M = 47(3) - 17 = 124°

Angle R = Angle M = 124°

Angle Q = 180 - Angle M = 56°

Angle N = Angle Q = 56°

Can anyone answer questions 1-9?! I would be so happy!!! I need this before tomorrow at 2:00 (I live in FL)!!! ANYONE?! PLEASE HELP (you can message me too!)

Answers

Answer:

Not sure if your teacher would accept the answer for #3 and #6 because of how I rounded up the answer to the semicircles.

50 points HELP PLEASEEE



We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?

Answers

Answer:

radius: 78 height: 92

im so sorry if im wrong! i did math and everything!

Assume the radius is 5 and the height is 4.

We first need to find the volume of both the TP roll and the volume of the closet.

In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.

After solving, we get 314 as our answer.

Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.

We then get 139,968 as our answer.

The last thing we need to do is 139,968 ÷ 314.

The answer we get is 445.

So the answer to this question is: About 445 rolls of TP can fit into the closet.

a point plotted at 30.05 on a number line which of these describes the location of the point

Answers

Answer:

Between 30 and 31

Step-by-step explanation:

(8*10^(3))(4*10^(8))

Answers

Answer:

3.2 * 10^12

Step-by-step explanation:

Answer:

3.2 * 10^12

Expanded form

32000000000000

Step-by-step explanation:

Help ASAP Please Thank You!​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{x^{12}}{x^{10}}=x^{12-10}=x^{2}[/tex]

Corresponding ______ are matching sides that are in the same position in two or more polygons.

Answers

Answer:

Corresponding sides are matching sides that are in the same position in two or more polygons .

Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5

Answers

Answer:

5/6

Step-by-step explanation:

Divide it

The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;

[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]

Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.

Learn more about division here;

https://brainly.com/question/22850643

#SPJ2

HERE I NEED HELP!!!!!

Answers

Answer:

Area of ¼th part of circle =¼πr²=¼×3.14×12²

=113.04in²

Area of rectangle ABCD=l×b=8×17=136in²

Area of rectangle DEFG=l×b=5×3=15in²

Total area : 113.04+136+15=264.04 =264 square inches.

Answer:

area = 263.04 in²

Step-by-step explanation:

area = (8 x 17) + (5 x 3) = (0.25 x 3.14 x 12²) = 135 + 15 + 113.04 =263.04 in²

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180

Answers

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

[tex]P(c) = 20(c - 3)^2[/tex]

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

[tex]P(c) = 20(c - 3)^2[/tex]

[tex]P(c) = 20(c - 3)(c - 3)[/tex]

Open bracket

[tex]P(c) = 20(c^2 -6c+ 9)[/tex]

[tex]P(c) = 20c^2 -120c+ 180[/tex]

The maximum value of c is:

[tex]Max(c) = \frac{-b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + b^2 + c[/tex]

By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]

[tex]a = 20[/tex]

[tex]b = -120[/tex]

[tex]c = 180[/tex]

So, we have:

[tex]Max(c) = \frac{-b}{2a}[/tex]

[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]

[tex]Max(c) = \frac{120}{40}[/tex]

[tex]Max(c) = 3[/tex]

If the degree of a polynomial is "6" then it must have "6" zeros/solutions

true or false

Answers

Purple fox can you help me with my work as well

Answer:

False. The degree of a polynomial is the highest exponent any term is raised to

Step-by-step explanation:

In 20P9, how many choices are
there for the second batter if the
total number on the team is 20?
(Only 9 players will be in the lineup.)

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Theres already a first batter which means that there are only 19 people that can be second batter

Events A and B are independent. Find the missing probability.
A.9/20

B.3/4

C.1/2

D.3/40

Answers

Answer:

B

Step-by-step explanation:

It’s B double check tho!

Find the Circumference of a circle with a Diameter of 9 inches Group of answer choices 9 pi inches 9 pi inches^2 9 pi inches^3 108 pi inches

Answers

Answer: [tex]9\pi\ in.[/tex]

Step-by-step explanation:

Given

The diameter of a circle is [tex]d=9\ in.[/tex]

So, the radius is [tex]r=\frac{d}{2}=4.5\ in.[/tex]

The circumference is given by [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pi \cdot 4.5\\\Rightarrow 9\pi \ in.[/tex]

Thus, the circumference of the circle is [tex]9\pi\ in.[/tex]  

Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?

A. A(X) = 4x + 432

B. A(X) = 4x2 + +42x + 432

C. A(x) = 4x2 + +84x + 432

D. A(x) = 4x + 432​

Answers

Answer:

B. A(x) = 4x² + 42x + 432

Step-by-step explanation:

The area is the product of the width and the length:

A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432

Correct choice is B

Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.

Answers

Answer:

6x3+10x2+7x+2/3x+2

Step-by-step explanation:

According to this diagram, what is cos 16°? 25 90° 24 OA OB. 곪 24 7 OC. OD.​

Answers

Answer:

None of the listed answers are correct.

cos16º = 24/25

Step-by-step explanation:

cos∅ = adj/hyp

adj = 24

hyp = 25

cos 16º = 24/25

help me and ill give u points (math)

Answers

Answer:

64+27=97+X

x =91-97

x=-6

What is the volume of this triangular prism

Answers

Answer:

hey you are in 9th Or 10th class

D. 504cm^3 is the answer
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